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Finding the Fourth Proportional to 30,986.40, 46,479.60 and 10,207.20

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Solution

The fourth proportional to 30,986.40, 46,479.60 and 10,207.20 is: 15,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.40 : 46,479.60 = 10,207.20 : x
  2. Step 2: Convert to fraction form
    30,986.40/46,479.60 = 10,207.20/x
  3. Step 3: Cross multiply
    30,986.40x = 46,479.60 × 10,207.20
  4. Step 4: Simplify right side
    30,986.40x = 474,426,573.12
  5. Step 5: Solve for x
    x = 474,426,573.12/30,986.40
  6. Step 6: Final answer
    x = 15,310.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.